Highest Common Factor of 7656, 8713 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 7656, 8713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7656, 8713 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 7656, 8713 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 7656, 8713 is 1.
HCF(7656, 8713) = 1
HCF of 7656, 8713 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7656, 8713 is 1.
Highest Common Factor of 7656,8713 is 1
Step 1: Since 8713 > 7656, we apply the division lemma to 8713 and 7656, to get
8713 = 7656 x 1 + 1057
Step 2: Since the reminder 7656 ≠ 0, we apply division lemma to 1057 and 7656, to get
7656 = 1057 x 7 + 257
Step 3: We consider the new divisor 1057 and the new remainder 257, and apply the division lemma to get
1057 = 257 x 4 + 29
We consider the new divisor 257 and the new remainder 29,and apply the division lemma to get
257 = 29 x 8 + 25
We consider the new divisor 29 and the new remainder 25,and apply the division lemma to get
29 = 25 x 1 + 4
We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get
25 = 4 x 6 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7656 and 8713 is 1
Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(29,25) = HCF(257,29) = HCF(1057,257) = HCF(7656,1057) = HCF(8713,7656) .
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Frequently Asked Questions on HCF of 7656, 8713 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 7656, 8713?
Answer: HCF of 7656, 8713 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7656, 8713 using Euclid's Algorithm?
Answer: For arbitrary numbers 7656, 8713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.